Translating oscillatory nonlinear structure in a plasma boundary
F. Haas, P. K. Shukla
TL;DR
This paper derives exact periodic solutions for a modified nonlinear Schrödinger equation modeling electrostatic surface waves in plasma, analyzing stability, conservation laws, and conditions for bi-stable equilibria.
Contribution
It introduces exact traveling wave solutions for a plasma wave model and discusses stability and bifurcation conditions, advancing understanding of plasma boundary dynamics.
Findings
Existence of bi-stable equilibria under certain conditions
Identification of conservation laws in the model
Analysis of modulational instability phenomena
Abstract
By means of a Madelung decomposition, exact periodic traveling solutions are constructed for a modified nonlinear Schrodinger equation derived by Stenflo and Gradov, describing electrostatic surface waves in semi-infinite plasma. The condition for the existence of bi-stable equilibria is discussed. A conservation law as well as the modulational instability admitted by the model are analyzed.
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